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Finding the Fourth Proportional to 114,348.84, 157,856.26 and 80,386.44

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Solution

The fourth proportional to 114,348.84, 157,856.26 and 80,386.44 is: 110,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,348.84 : 157,856.26 = 80,386.44 : x
  2. Step 2: Convert to fraction form
    114,348.84/157,856.26 = 80,386.44/x
  3. Step 3: Cross multiply
    114,348.84x = 157,856.26 × 80,386.44
  4. Step 4: Simplify right side
    114,348.84x = 12,689,502,773.11
  5. Step 5: Solve for x
    x = 12,689,502,773.11/114,348.84
  6. Step 6: Final answer
    x = 110,971.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.